Design of two-dimensional half-plane recursive digital filters with octagonal symmetry

A design method for two-dimensional (2-D) half-plane recursive digital filters is proposed. Constraints in the parameters of the designed transfer function are imposed to ensure octagonal symmetry in the magnitude response. Optimization algorithms are used to minimize thelp norm. The stability of these filters is checked easily by evaluating a small number of predetermined inequalities. Twelve designs are presented to show the characteristics and efficiency of the method proposed.

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